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A252153 Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 1 3 6 or 7 1

%I

%S 3583,2702,4988,8425,15460,29825,58792,116276,229960,457196,909868,

%T 1810124,3610156,7203020,14368492,28697612,57327052,114505100,

%U 228854092,457436876,914279500,1827936716,3654790348,7307206604,14611927756

%N Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 1 3 6 or 7

%C Column 4 of A252157

%H R. H. Hardin, <a href="/A252153/b252153.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -2*a(n-2) +6*a(n-3) -18*a(n-4) +12*a(n-5) -8*a(n-6) +24*a(n-7) -16*a(n-8) for n>13

%e Some solutions for n=4

%e ..3..3..2..3..3..3....3..2..3..3..3..2....2..0..2..2..1..2....3..3..2..3..3..3

%e ..3..2..0..2..0..2....2..0..2..0..2..0....3..2..3..3..2..3....0..2..0..2..0..2

%e ..3..0..2..0..2..3....3..2..0..2..0..2....3..2..3..3..2..3....2..0..2..0..2..0

%e ..3..2..0..2..0..3....3..0..2..0..2..3....2..1..2..2..1..2....0..2..0..2..0..2

%e ..2..0..2..0..2..3....3..2..0..2..0..3....3..2..3..3..2..3....3..0..2..0..2..0

%e ..0..2..0..2..0..3....2..0..2..3..3..3....3..2..3..3..2..3....1..3..0..2..0..3

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014

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Last modified August 10 04:38 EDT 2020. Contains 336368 sequences. (Running on oeis4.)